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Wang, M and Fu, Y (2021) Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation. International Journal of Engineering Science, 159. ISSN 0020-7225
wang-mi-fu-revised.pdf - Accepted Version
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Abstract
A weakly nonlinear analysis is conducted for localized necking of a hyperelastic solid cylinder under axial stretching based on the exact theory of nonlinear elasticity. The amplitude equation derived is shown to be consistent with the one-dimensional model recently proposed by Audoly and Hutchinson (J. Mech. Phys. Solids 97, 2016, 68–91). It is shown that results based on the infinite-length approximation are sufficiently accurate even for cylinders with very moderate length/diameter ratios. In contrast, a weakly nonlinear analysis based on the finite length is only valid for very stubby cylinders and for axial force much closer to its bifurcation value than anticipated.
Item Type: | Article |
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Additional Information: | The final version of this accepted manuscript can be found online at; https://www.sciencedirect.com/science/article/pii/S0020722520302196?via%3Dihub#! |
Uncontrolled Keywords: | Localized necking, Hyperelasticity, Nonlinear analysis, Bifurcation, Stability |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Related URLs: | |
Depositing User: | Symplectic |
Date Deposited: | 18 Feb 2021 10:50 |
Last Modified: | 03 Dec 2022 01:30 |
URI: | https://eprints.keele.ac.uk/id/eprint/9161 |